What equation do I need to use?

Mathematics

1 answer:

goldenfox [79]3 years ago

6 0

To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3) and B(1 , 2) [you notice that just the y's changed]

This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered

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Find the value of y.

olga nikolaevna [1]

Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles:
$\frac{x}{5} = \frac{16}{x}, \ then \ x= \sqrt{80}$
2. according to the Pyphagorean theorem (in the smallest triangle):
$y= \sqrt{ \sqrt{80^2} -5^2} = \sqrt{55}$

answer: y=√55.

4 0

3 years ago

Help pleasee don’t know what I’m doing lol

Ksju [112]

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